857002845343032 has 768 divisors, whose sum is σ = 2609998341350400. Its totient is φ = 262637343682560.

The previous prime is 857002845342997. The next prime is 857002845343081. The reversal of 857002845343032 is 230343548200758.

857002845343032 is a `hidden beast` number, since 8 + 5 + 7 + 0 + 0 + 284 + 53 + 4 + 303 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 857002845343032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 443353773138 + ... + 443353775070.

It is an arithmetic number, because the mean of its divisors is an integer number (3398435340300).

Almost surely, 2^{857002845343032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 857002845343032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304999170675200).

857002845343032 is an abundant number, since it is smaller than the sum of its proper divisors (1752995496007368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

857002845343032 is a wasteful number, since it uses less digits than its factorization.

857002845343032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 857002845343032 in words is "eight hundred fifty-seven trillion, two billion, eight hundred forty-five million, three hundred forty-three thousand, thirty-two".